Near-Extreme Black Holes and the Universal Relaxation Bound

Abstract

A fundamental bound on the relaxation time τof a perturbed thermodynamical system has recently been derived, τ\geq \hbar/πT, where $T$ is the system's temperature. We demonstrate analytically that black holes saturate this bound in the extremal limit and for large values of the azimuthal number m of the perturbation field.

2 Pages. Submitted to PRD on 5/12/2007

References in corpus (1)

• Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing

Cited by in corpus (16)

• The Weak Gravity Conjecture: A Review
• Kerr-Newman black holes with stationary charged scalar clouds
• Slow relaxation of rapidly rotating black holes
• Upper bound on the radii of black-hole photonspheres
• Quasinormal resonances of near-extremal Kerr-Newman black holes
• Relaxation dynamics of charged gravitational collapse
• A Detailed Analytic Study of the Asymptotic Quasinormal Modes of Schwarzschild-Anti De Sitter Black Holes
• Lower bound on the radii of black-hole photonspheres
• Bekenstein-Hod Universal Bound on Information Emission Rate Is Obeyed by LIGO-Virgo Binary Black Hole Remnants
• Resonance spectra of caged black holes
• Analytic expressions for quasinormal modes of the general parametrized spherically symmetric black holes and the Hod's proposal
• A note on the connection between the universal relaxation bound and the covariant entropy bound
• Extremal black holes have external light rings
• Generic spherically symmetric thin-shell wormholes with equilibrium throat at the innermost photonsphere are unstable
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• From Thermodynamics to the Bound on Viscosity